The idea of associating graphs with groups, which started from Cayley graphs, is now an important topic of research in modern algebraic graph theory. The most prominent graphs defined on groups in recent years are power graphs [1]}, enhanced power graphs [2]}, commuting graphs [3]}, non-commuting graphs [4]}, subgroup inclusion graphs [5]} etc., and various works like [6]} has been done on these topics. As a comprehensive survey on different graphs defined on groups, [7]} is an excellent reference. These graphs help us in understanding various group properties using graph theoretic interpretations. Following these footsteps, Akbari et.al. introduced co-maximal subgroup graph of a group \(G\)  in [8]}.
